Non–linear dynamics, chaos and self-organization in some natural theories.

We propose a (non technical) bird’s eye view of some ingredients and motives related to dynamical systems, chaos and complexity. Basically, unpredictable behavior of deterministic systems was called chaos, and since, it has captured our imagination and our vision of the world. We give a smooth introduction to some constitutive elements of chaos theory, such as the butterfly effect, turbulences, fractals and strange attractors. The Ariadne’s thread is the unfolding of the spontaneous appearance of order out of chaos.